Quantized control for nonlinear Markovian jump systems

This paper is concerned with the quantized control design problem for a class of nonlinear Markovian jump systems. The sufficient condition for the Markovian jump systems is developed, which guarantees that the corresponding closed-loop systems are stochastically stable and have a prescribed H_∞ performance. The existence condition for full- and reduced-order dynamic output feedback controllers are provided, and the cone complementarity linearization procedure is employed to cast the controller design problem into a sequential minimization one, which can be solved efficiently by using existing optimization techniques. Finally, an example is presented to show efficiency of the developed approach.